points t, u, and v are the vertices of a rectangle. point w is the fourth vertex. plot point w and give its coordinates

Is the following relation a function? (4,2), (1,1), (0,0), (1, -1), (4, -2). Give the domain and range.

Vlada [557]

(x,y)
to be a function
for every x, ther must be only 1 y to corespond to it
basically, x must NEVER repeat with a different y
list them

ah, we see (1,1) an d(1,-1)
also (4,2) and (4,-2)
double offense
1 repeats with 1 and -1
4 repeats with 2 and -2

not a function

domain is all x values
range is all y values
if they repeat, don't list them

domain=(0,1,4)
range=(-2,-1,0,1,2)

8 0

3 years ago

What is the equation of the line that passes through the point(−7,−1) and has a slope of 1?

bonufazy [111]

Answer:

y=x+6

Step-by-step explanation:

Put (-7,-1) into

y-y1=m(x-x1) form, and m=1 (the slope)

y+1=1(x+7)

y+1=x+7

y=x+6

Happy Holidays!

4 0

3 years ago

HELP ME ASAP PLS

Katarina [22]

Answer:

Tommy had 56 cents in start and Loren had 7 cents in start.

Step-by-step explanation:

Let,

x be the money Tommy have.

y be the money Loren have.

According to given statement;

Tommy had 8 times more money than Loren.

x = 8y Eqn 1

Parents gave 35 cents to Loren and Tommy spent 14 cents, therefore

x-14=y+35 Eqn 2

Putting x=8y in Eqn 2

$8y-14=y+35\\8y-y=35+14\\7y=49$

Dividing both sides by 7

$\frac{7y}{7}=\frac{49}{7}\\y=7$

Putting y=7 in Eqn 1

$x=8(7)\\x=56$

Hence,

Tommy had 56 cents in start and Loren had 7 cents in start.

6 0

3 years ago

For 5 points and brainliest to the best correct answer, find the missing measures.<br> Thank you

zzz [600]

Answer:

x = 7
y = 97°
z = 19

Step-by-step explanation:

The markings on the figure show this to be a parallelogram. That means opposite sides are congruent. Because the sides are parallel, "alternate interior" angles are also congruent.

__

Angle y forms a linear pair with the one marked 83°, so is supplementary to it:

y = 180°-83° = 97°

__

The angle marked y is an exterior angle to the triangle containing the angle marked (7x -5)°. As such, it is equal to the sum of the remote interior angles, the one marked (7x -5)° and the unmarked one that is congruent to (3x +32)°.

(7x -5) +(3x +32) = 97 . . . . . angle relations in the left-side triangle

10x +27 = 97 . . . . . . . collect terms

10x = 70 . . . . . . . . subtract 27

x = 7 . . . . . . . . divide by 10

__

The side marked Z is congruent to the opposite parallel side, so ...

z = 19

__

The missing measures are ...

x = 7
y = 97°
z = 19

_____

<em>Additional comment</em>

You can also find the value of y by adding up the interior angles of the right-side triangle. The one not shown there is "alternate interior" to the one marked (7x -5)°, hence has the same measure. This gives ...

(7x -5) +(3x +32) +83 = 180

Subtracting 83° from both sides gives the equation we used above.

4 0

3 years ago

Find the inverse of the function. y = x2 + 4x + 4

QveST [7]

Factors of 4: 2 and 2
y= (x+2)²
+√y or -√y = x+2

x= 2+√y , 2-√y

interchange variables
y= 2+√x , 2-√x

f ⁻¹(x) = 2 + √x, 2 - √x

8 0

3 years ago

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